The setting of boundary conditions for boundary value problems of hyperbolic-elliptic coupled systems
β Scribed by Shu-xing Chen; Ze-jun Wang; Yong-qian Zhang
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2008
- Tongue
- English
- Weight
- 223 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0168-9673
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π SIMILAR VOLUMES
We consider a one-dimensional coupled problem for elliptic second-order ODEs with natural transmission conditions. In one subinterval, the coe$cient '0 of the second derivative tends to zero. Then the equation becomes there hyperbolic and the natural transmission conditions are not ful"lled anymore.
## Abstract For partial differential equations of mixed ellipticβhyperbolic type we prove results on existence and existence with uniqueness of weak solutions for __closed__ boundary value problems of Dirichlet and mixed Dirichletβconormal types. Such problems are of interest for applications to tr